APFIVE Quotient and Product Rule From a Table
The table below gives values of the twice-differentiable functions $$f$$ and $$g$$ and their derivatives at $$x = -2$$:
| $$x$$ | $$f(x)$$ | $$f'(x)$$ | $$f''(x)$$ | $$g(x)$$ | $$g'(x)$$ | $$g''(x)$$ |
|---|---|---|---|---|---|---|
| -2 | 1 | 3 | -1 | 2 | -1 | 2 |
If $$h(x) = \displaystyle\frac{f(x) \cdot g'(x)}{g(x) \cdot f'(x)}$$, what is the value of $$h'(-2)$$?
A
$$\displaystyle\frac{7}{36}$$
B
$$-\displaystyle\frac{5}{36}$$
C
$$\displaystyle\frac{1}{6}$$
D
$$-\displaystyle\frac{11}{36}$$
Question Leaderboard
Not enough data yet to show leaderboard.